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Interpolating Between Measurements

Because multiple plucks and excitations of a guitar can be made in one lab session, every note on the guitar can be recorded, thereby obtaining acceleration of the top-plate measurements and corresponding pressure waves for each note. For each note, computing the transfer function resulting from corresponding measurements yields correct radiation filter characteristics at the fundamental and harmonics of the note. Therefore, to obtain an averaged measurement radiation filter, using points from each notes' transfer functions corresponding to the fundamental frequency and harmonics, and interpolating between these known points also yields a psycho-acoustically accurate radiation filter.


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``Virtual Stringed Instruments'', by Nelson Lee and Julius O. Smith III,
REALSIMPLE Project — work supported by the Wallenberg Global Learning Network .
Released 2008-02-20 under the Creative Commons License (Attribution 2.5), by Nelson Lee and Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
CCRMA